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Simplifying x2 + -1(4 + i) * x + (5 + -1i) = 0 Reorder the terms for easier multiplication: x2 + -1x(4 + i) + (5 + -1i) = 0 x2 + (4 * -1x + i * -1x) + (5 + -1i) = 0 Reorder the terms: x2 + (-1ix + -4x) + (5 + -1i) = 0 x2 + (-1ix + -4x) + (5 + -1i) = 0 Remove parenthesis around (5 + -1i) x2 + -1ix + -4x + 5 + -1i = 0 Reorder the terms: 5 + -1i + -1ix + -4x + x2 = 0 Solving 5 + -1i + -1ix + -4x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1i + -1ix + -4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -1i + -1ix + -4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1i + -1ix + -4x + x2 = 0 + -5 -1i + -1ix + -4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1i + -1ix + -4x + x2 = -5 Add '4x' to each side of the equation. -1i + -1ix + -4x + 4x + x2 = -5 + 4x Combine like terms: -4x + 4x = 0 -1i + -1ix + 0 + x2 = -5 + 4x -1i + -1ix + x2 = -5 + 4x Add '-1x2' to each side of the equation. -1i + -1ix + x2 + -1x2 = -5 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -1i + -1ix + 0 = -5 + 4x + -1x2 -1i + -1ix = -5 + 4x + -1x2 Reorder the terms: 5 + -1i + -1ix + -4x + x2 = -5 + 4x + -1x2 + 5 + -4x + x2 Reorder the terms: 5 + -1i + -1ix + -4x + x2 = -5 + 5 + 4x + -4x + -1x2 + x2 Combine like terms: -5 + 5 = 0 5 + -1i + -1ix + -4x + x2 = 0 + 4x + -4x + -1x2 + x2 5 + -1i + -1ix + -4x + x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 5 + -1i + -1ix + -4x + x2 = 0 + -1x2 + x2 5 + -1i + -1ix + -4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + -1i + -1ix + -4x + x2 = 0 The solution to this equation could not be determined.
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